Details

sample60.0ms

Algorithm

intervals

Results

26.0ms	389×	body	80	valid
6.0ms	154×	body	80	nan

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.3b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.3b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `unpow-prod-down` `div-exp` `sum-log`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 74

Calls

4 calls:

2.0ms	(+ 1.0 (* 10.0 k))
5.0ms	(* a (pow k m))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
9.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.0 (* 10.0 k))
16.0ms	(* a (pow k m))
3.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
34.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify60.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	471	611
1	2227	545
2	5002	538

prune379.0ms

Filtered

86 candidates to 63 candidates (26.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 2.3b

Counts

88 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
0.3b	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
4.0b	(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
500×	`add-sqr-sqrt` `*-un-lft-identity`
498×	`add-cube-cbrt`
198×	`unpow-prod-down`
105×	`associate-/r*`
70×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
22×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`pow1` `rec-exp` `1-exp`
4×	`associate-r` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/l/`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 602

Calls

4 calls:

6.0ms	(* k (+ 10.0 k))
10.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
25.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
5.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

series75.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* k (+ 10.0 k))
32.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
31.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
7.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify134.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2203	9184
1	5002	8752

prune7.8s

Filtered

614 candidates to 379 candidates (38.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	614	0	614
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	614	4	618

Merged error: 2.3b

Counts

618 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.3b	(/ (cbrt (pow (* a (pow k m)) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
20.8b	(cbrt (pow (* a (pow k m)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
33×	`add-sqr-sqrt` `times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `associate-/l*`
9×	`unpow-prod-down` `add-log-exp`
7×	`associate-r` `add-cbrt-cube` `sqr-pow`
5×	`cube-mult` `unpow3` `cube-prod`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `sum-log` `unswap-sqr`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+l+` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* a (pow k m))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
9.0ms	(/ (cbrt (pow (* a (pow k m)) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
2.0ms	(cbrt (pow (* a (pow k m)) 3))

series78.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* a (pow k m))
3.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
38.0ms	(/ (cbrt (pow (* a (pow k m)) 3)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
21.0ms	(cbrt (pow (* a (pow k m)) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	487	1327
1	2228	1225
2	5001	1202

prune655.0ms

Filtered

128 candidates to 95 candidates (25.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 2.3b

Counts

132 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* m (log k))
0.2b	(* a (* m (log k)))
0.2b	(* 10.0 (* k a))
7.2b	(* (log 1) (* a m))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
21×	`add-exp-log` `add-cbrt-cube`
18×	`log-prod`
17×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
13×	`associate-l`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`log-pow`
1×	`unswap-sqr`

Counts

4 → 92

Calls

4 calls:

4.0ms	(* m (log k))
5.0ms	(* a (* m (log k)))
4.0ms	(* 10.0 (* k a))
5.0ms	(* (log 1) (* a m))

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* m (log k))
9.0ms	(* a (* m (log k)))
4.0ms	(* 10.0 (* k a))
8.0ms	(* (log 1) (* a m))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	360	489
1	1491	387
2	5001	313

prune374.0ms

Filtered

104 candidates to 58 candidates (44.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	104	4	108

Merged error: 2.3b

Counts

108 → 4

regimes220.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

810.0ms	11926×	body	80	valid
189.0ms	4356×	body	80	nan

Details

sample60.0ms

simplify107.0ms

prune13.0ms

localize14.0ms

rewrite23.0ms

series56.0ms

simplify60.0ms

prune379.0ms

localize11.0ms

rewrite95.0ms

series75.0ms

simplify134.0ms

prune7.8s

localize14.0ms

rewrite24.0ms

series78.0ms

simplify64.0ms

prune655.0ms

localize20.0ms

rewrite22.0ms

series29.0ms

simplify48.0ms

prune374.0ms

regimes220.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling